The most recent photos show Green putting his hand over Fox's bare stomach as they stand and lounge on beach chairs together at a resort in Kona, Hawaii on June 24. The couple's spokespeople had no immediate comment about the pictures.

Us Weekly, one of the outlets that posted the shots, reported that the two were vacationing in the area to celebrate their second wedding anniversary. The couple wed there in 2010.

In a segment taped for the syndicated celebrity news show "Entertainment Tonight" in May, correspondent Steve Jones, the former host of FOX's "X Factor" singing contest series, tried to get Fox to confirm her pregnancy. He incorporated the subject in a question related to an endorsement deal she had signed with electronics company Sharper Image (see photo, below).

"Do you know the ultimate gadget that every man wants? A baby," Jones said.

"A baby?" she asked.

"A baby," he replied.

"Oh, I know where you're going with this. Alright, go. What do you want to know?" she said, laughing. "You hear the grumbles."

Voices in the background are then heard saying, "Stop, stop," and Jones complies as Fox continues laughing.

Fox was about 18 when she began dating Green. The actor has a 10-year-old son Kassius, whose mother is "General Hospital" star Vanessa Marcil. The boy served as the best man at his wedding to Fox and was the only witness. Us Weekly reported that Kassius stayed with them at the Four Seasons Resort in Hualalai during their recent Hawaii vacation.

Fox told Cosmopolitan magazine in an interview published in its April 2012 issue that she wants "at least two, probably three" children.

"I've always been maternal," she said. "That's another thing that people probably don't assume about me."